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Convergence analysis of fixed stress split iterative scheme for small strain anisotropic poroelastoplasticity: a primer. (arXiv:1810.04163v1 [math.NA])
来源于:arXiv
This work serves as a primer to our efforts in arriving at convergence
estimates for the fixed stress split iterative scheme for single phase flow
coupled with small strain anisotropic poroelastoplasticity. The fixed stress
split iterative scheme solves the flow subproblem with stress tensor fixed
using a mixed finite element method, followed by the poromechanics subproblem
using a conforming Galerkin method in every coupling iteration at each time
step. The coupling iterations are repeated until convergence and Backward Euler
is employed for time marching. The convergence analysis is based on studying
the equations satisfied by the difference of iterates to show that the
iterative scheme is contractive. 查看全文>>